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In this paper, the capacity of wireless channels is characterized based on electromagnetic and antenna theories with only minimal assumptions. We assume the transmitter can generate an arbitrary current distribution inside a spherical…

Information Theory · Computer Science 2016-11-17 Wonseok Jeon , Sae-Young Chung

In this paper, we derive the information theoretic capacity of a special class of mesh networks. A mesh network is a heterogeneous wireless network in which the transmission among power limited nodes is assisted by powerful relays, which…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

We investigate the role of cooperation in wireless networks subject to a spatial degrees of freedom limitation. To address the worst case scenario, we consider a free-space line-of-sight type environment with no scattering and no fading. We…

Information Theory · Computer Science 2016-11-17 Ayfer Ozgur , Olivier Leveque , David Tse

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

We derive bounds on the noncoherent capacity of wide-sense stationary uncorrelated scattering (WSSUS) channels that are selective both in time and frequency, and are underspread, i.e., the product of the channel's delay spread and Doppler…

Information Theory · Computer Science 2016-11-15 Giuseppe Durisi , Ulrich G. Schuster , Helmut Bölcskei , Shlomo Shamai

Consider networks on $n$ vertices at average density 1 per unit area. We seek a network that minimizes total length subject to some constraint on journey times, averaged over source-destination pairs. Suppose journey times depend on both…

Statistical Mechanics · Physics 2007-05-23 David Aldous

Franceschetti et al. have recently shown that per-node throughput in an extended, ad hoc wireless network with $\Theta(n)$ randomly distributed nodes and multihop routing can be increased from the $\Omega({1 \over \sqrt{n} \log n})$ scaling…

Information Theory · Computer Science 2007-10-10 Awlok Josan , Mingyan Liu , David L. Neuhoff , S. Sandeep Pradhan

Throughput capacity of large ad hoc networks has been shown to scale adversely with the size of network $n$. However the need for the nodes to find or repair routes has not been analyzed in this context. In this paper, we explicitly take…

Networking and Internet Architecture · Computer Science 2022-02-22 Eugene Perevalov , Rick S. Blum , Xun Chen , Anthony Nigara

Quantum network is the key to enable distributed quantum information processing. As the single-link communication rate decays exponentially with the distance, to enable reliable end-to-end quantum communication, the number of nodes needs to…

Quantum Physics · Physics 2021-08-17 Quntao Zhuang , Bingzhi Zhang

We establish the validity of asymptotic limits for the general transportation problem between random i.i.d. points and their common distribution, with respect to the squared Euclidean distance cost, in any dimension larger than three.…

Probability · Mathematics 2025-02-18 Martin Huesmann , Michael Goldman , Dario Trevisan

This paper investigates the capacity of a wireless two way relay channel in which two end nodes exchange information via a relay node. The capacity is defined in the information-theoretic sense as the maximum information exchange rate…

Information Theory · Computer Science 2008-04-22 Zhang Shengli , Soung Chang Liew

The capacity of a fractal wireless network with direct social interactions is studied in this paper. Specifically, we mathematically formulate the self-similarity of a fractal wireless network by a power-law degree distribution $ P(k) $,…

Information Theory · Computer Science 2017-05-30 Ying Chen , Rongpeng Li , Zhifeng Zhao , Honggang Zhang

In this paper, we study the transport capacity of large multi-hop wireless CSMA networks. Different from previous studies which rely on the use of centralized scheduling algorithm and/or centralized routing algorithm to achieve the optimal…

Networking and Internet Architecture · Computer Science 2016-11-17 Tao Yang , Guoqiang Mao , Wei Zhang , Xiaofeng Tao

In this paper, we present a new technique to obtain upper bounds on undirected unicast network information capacity. Using this technique, we characterize an upper bound, called partition bound, on the symmetric rate of information flow in…

Information Theory · Computer Science 2020-10-27 Satyajit Thakor , Mohammad Ishtiyaq Qureshi

Capacity scaling laws are analyzed in an underwater acoustic network with $n$ regularly located nodes on a square. A narrow-band model is assumed where the carrier frequency is allowed to scale as a function of $n$. In the network, we…

Information Theory · Computer Science 2010-05-10 Won-Yong Shin , Daniel E. Lucani , Muriel Medard , Milica Stojanovic , Vahid Tarokh

Network calculus is an elegant theory which uses envelopes to determine the worst-case performance bounds in a network. Statistical network calculus is the probabilistic version of network calculus, which strives to retain the simplicity of…

Networking and Internet Architecture · Computer Science 2012-12-11 Kishore Angrishi

We consider a noncoherent wireless network, where the transmitters and receivers are cognizant of the statistics of the fading coefficients, but are ignorant of their realizations. We demonstrate that if the nodes do not cooperate, if they…

Information Theory · Computer Science 2015-07-02 Grace Villacrés , Tobias Koch

In this paper, we study the contribution of network coding (NC) in improving the multicast capacity of random wireless ad hoc networks when nodes are endowed with multi-packet transmission (MPT) and multi-packet reception (MPR)…

Information Theory · Computer Science 2008-09-23 Zheng Wang , Shirish Karande , Hamid R. Sadjadpour , J. J. Garcia-Luna-Aceves

We find that the simple coupling of network growth to the position of a random walker on the network generates a traveling wave in the probability distribution of nodes visited by the walker. We argue that the entropy of this probability…

Physics and Society · Physics 2019-06-26 Robert J. H. Ross , Charlotte Strandkvist , Walter Fontana

This paper proposes a mathematical justification of the phenomenon of extreme congestion at a very limited number of nodes in very large networks. It is argued that this phenomenon occurs as a combination of the negative curvature property…

Networking and Internet Architecture · Computer Science 2018-08-02 Edmond Jonckheere , Mingji Lou , Francis Bonahon , Yuliy Baryshnikov